A ball A is projected from origin with an initial
velocity V = 700 cm/s, in a direction 37 degree above
the horizontal as shown in fig. Another ball B
300 cm from origin on a line 37 degree above the
horizontal is released from rest at the instant A
starts. then how far will B have fallen when it is
hit by A-
(A) 80 cm
(B) 60 cm
(C) 90 cm
(D) 70 cm
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Answer:
A. 80
Explanation:
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Given:
Initial velocity of A= 700 cm/s
The angle of projection of A and B = 37°
Height of projection of B (AB) = 300cm
To find:
Distance covered by B when it was hit by A
Solution:
x = AB cos 37° = AB X 4/5 (using trignometry)
= 300 X 4/5 = 240cm
time = distance / speed
or t = 2.4m / 7 ms⁻¹
Applying equation of motion,
y = ut +1/2 gt²
Since initial velocity of B = 0m/s,
y = 1/2 gt²
Substituting,
y = 10 X 2.4 X 2.4 / 2 X 7 X 7
= 60 cm
Hence, the distance covered is 60cm.
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